In a similar way, M. Hoffman [1]} defined the multiple \(t\) -values (“odd variant” of MZV's),
\(\displaystyle t(k_{1}, k_{2}, \ldots , k_{r})=2^{-|k|}\zeta (k_{1}, k_{2}, \ldots , k_{r}; -\frac{1}{2}, -\frac{1}{2}, \ldots , -\frac{1}{2})=\) 
\(\displaystyle =\sum _{1\le n_{1}<n_{2}<\ldots <n_{r}}\frac{1}{(2n_{1}-1)^{k_{1}}(2n_{2}-1)^{k_{2}}\ldots (2n_{r}-1)^{k_{r}}}\) 
\(\displaystyle =\sum _{1\le n_{1}<n_{2}<\ldots <n_{r}:\\ n_{i} \operatorname{odd}}\frac{1}{n_{1}^{k_{1}}n_{2}^{k_{2}}\ldots n_{r}^{k_{r}}},\) 
